9 times 8 is 72, but what is the answer if both 9 and 8 are negative numbers? Here we will determine if the answer to negative 9 times negative 8 is positive 72 or negative 72.
There are many different ways to explain and determine if the answer to negative 9 times negative 8 is -72 or +72 using mathematical terms such as additive inverse and mathematical laws like the Distribute Law.
We will take a different approach - process of elimination: We will simply test if -72 is the correct answer using basic algebra.
We will test if -72 is correct by setting up the equation negative 9 times negative 8 equals negative 72, and then simplifying the equation to see if it is true.
(-9) (-8) = (-72)
Divide both sides of the equation by (-8) :
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| = |
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The numerator and denominator on the left side both have (-8) which even each other out and can be removed:
| (-9) = |
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The numerator and denominator on the right side both have a minus sign (-) which even each other out and can be removed:
| (-9) = |
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A numerator of 72 and denominator of 8 on the right side is the same as 72 divided by 8 which is 9. Now we end up with this untrue equation:
(-9) = (9)
-9 is NOT equal to 9, thus we have proven that negative 9 times negative 8 is not equal to -72. The answer must therefore be 72:
-9 x -8 = 72
The above applies to all math problems where you multiply two negative numbers. Multiplying two negative numbers such as negative 9 times negative 8 will always have a positive answer.
Negative Times Negative Calculator
Here you can multiply another two negative numbers together.
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